Let's solve this problem step by step.
### Step 1: Calculate the Gross Proceeds from the Sale of Shares
First, find out how much money you get by selling 800 shares at K4.85 per share:
[tex]\[ \text{Gross Proceeds} = \text{Number of Shares} \times \text{Price per Share} \][/tex]
[tex]\[ \text{Gross Proceeds} = 800 \times 4.85 \][/tex]
[tex]\[ \text{Gross Proceeds} = 3880.00 \, \text{Kina} \][/tex]
### Step 2: Calculate the Stamp Duty
Stamp duty is charged at 15 toea per K1.00 or part thereof.
First, convert 15 toea to Kina:
[tex]\[ \text{Stamp Duty Rate} = \frac{15}{100} = 0.15 \, \text{Kina per Kina} \][/tex]
Next, because stamp duty must be rounded up to the nearest Kina, calculate the stamp duty:
[tex]\[ \text{Stamp Duty} = \lceil 3880.00 \rceil \times 0.15 \][/tex]
Since 3880.00 is already a whole number, we don't need to round up:
[tex]\[ \text{Stamp Duty} = 3880 \times 0.15 \][/tex]
[tex]\[ \text{Stamp Duty} = 582.00 \, \text{Kina} \][/tex]
### Step 3: Calculate the Net Proceeds
Subtract the brokerage fee and stamp duty from the gross proceeds to get the net proceeds. The brokerage fee is K29.
[tex]\[ \text{Net Proceeds} = \text{Gross Proceeds} - \text{Brokerage Fee} - \text{Stamp Duty} \][/tex]
[tex]\[ \text{Net Proceeds} = 3880.00 - 29.00 - 582.00 \][/tex]
[tex]\[ \text{Net Proceeds} = 3880.00 - 611.00 \][/tex]
[tex]\[ \text{Net Proceeds} = 3269.00 \, \text{Kina} \][/tex]
### Summary
- Gross Proceeds: K3880.00
- Stamp Duty: K582.00
- Brokerage Fee: K29.00
- Net Proceeds: K3269.00
Thus, the amount obtained when 800 LNG shares are sold at K4.85, after accounting for the brokerage fee and stamp duty, is K3269.00.
